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On quasi maximal ideals

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dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsAlan M., Kılıç M., Koç S., Tekir Ü.
dc.date.accessioned2023-12-22T06:41:12Z
dc.date.accessioned2026-01-10T18:47:57Z
dc.date.available2023-12-22T06:41:12Z
dc.date.issued2023-12-01
dc.description.abstractLet R be a commutative ring with 1 ̸= 0. A proper ideal I of R is said tobe a quasi maximal ideal if for every a ∈ R − I, either I + Ra = R or I + Rais a maximal ideal of R. This class of ideals lies between 2-absorbing idealsand maximal ideals which is different from prime ideals. In addition to givefundamental properties of quasi maximal ideals, we characterize principal idealUN-rings with √02= (0), direct product of two fields, and Noetherian zerodimensional modules in terms of quasi maximal ideals.
dc.identifier.citationAlan M., Kılıç M., Koç S., Tekir Ü., "On Quasi Maximal Ideals", COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.76, sa.12, ss.1801-1810, 2023
dc.identifier.doi10.7546/crabs.2023.12.01
dc.identifier.endpage1810
dc.identifier.issn1310-1331
dc.identifier.issue12
dc.identifier.startpage1801
dc.identifier.urihttps://www.proceedings.bas.bg/index.php/cr/article/view/431
dc.identifier.urihttps://hdl.handle.net/11424/295910
dc.identifier.volume76
dc.language.isoeng
dc.relation.ispartofCOMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMatematik
dc.subjectDeğişmeli Halkalar ve Cebirler
dc.subjectTemel Bilimler
dc.subjectMathematics
dc.subjectCommutative Rings and Algebras
dc.subjectNatural Sciences
dc.subjectTemel Bilimler (SCI)
dc.subjectDoğa Bilimleri Genel
dc.subjectÇOK DİSİPLİNLİ BİLİMLER
dc.subjectMATEMATİK
dc.subjectNatural Sciences (SCI)
dc.subjectNATURAL SCIENCES, GENERAL
dc.subjectMATHEMATICS
dc.subjectMULTIDISCIPLINARY SCIENCES
dc.subjectMantık
dc.subjectGeometri ve Topoloji
dc.subjectAyrık Matematik ve Kombinatorik
dc.subjectMultidisipliner
dc.subjectFizik Bilimleri
dc.subjectLogic
dc.subjectGeometry and Topology
dc.subjectDiscrete Mathematics and Combinatorics
dc.subjectMultidisciplinary
dc.subjectPhysical Sciences
dc.titleOn quasi maximal ideals
dc.typearticle
dspace.entity.typePublication

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